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10024120020 = 2235533152239
BaseRepresentation
bin10010101010111101…
…11110111011010100
3221212121011001120110
421111132332323110
5131012133320040
64334403403020
7503256420465
oct112536767324
927777131513
1010024120020
114284399812
121b39083470
13c399b3c85
146b1440d6c
153da074980
hex2557beed4

10024120020 has 48 divisors (see below), whose sum is σ = 28597121280. Its totient is φ = 2622662016.

The previous prime is 10024119991. The next prime is 10024120027. The reversal of 10024120020 is 2002142001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10024119978 and 10024120005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024120027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1572940 + ... + 1579299.

It is an arithmetic number, because the mean of its divisors is an integer number (595773360).

Almost surely, 210024120020 is an apocalyptic number.

10024120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10024120020 is an abundant number, since it is smaller than the sum of its proper divisors (18573001260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10024120020 is a wasteful number, since it uses less digits than its factorization.

10024120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3152304 (or 3152302 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10024120020 its reverse (2002142001), we get a palindrome (12026262021).

The spelling of 10024120020 in words is "ten billion, twenty-four million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 3152239 6304478 9456717 12608956 15761195 18913434 31522390 37826868 47283585 63044780 94567170 167068667 189134340 334137334 501206001 668274668 835343335 1002412002 1670686670 2004824004 2506030005 3341373340 5012060010 10024120020